Respuesta :

1. Observe problem

1-(1/8+1/12+1/2)

Make all common denominator

The Least common multiple of 8,12, and 2 is 24

1-((3+2+12)/24)=

1-17/24=

7/24

Therefore, 28 years make up 7/24 of his life.

Simplifying, he grows 4 years for every 1/24 of his life

4 times 24 is 96, so

Fred is 96 currently(that's pretty old)

Starrysoul100

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

  • Fred is an old man he lived 1/8th of his life as a boy
  • He lived 1/12th of his life as a youth , 1/2 of his life as a man and 28 years in his old age

[tex]\bold{\underline{ To \: Find :- }}[/tex]

  • We have to find the current age of Fred?

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

Let the present age of Fred be x

Therefore,

According to the question,

[tex]\sf{ 1/8x + 1/12x + 1/2x + 28 = x }[/tex]

[tex]\sf{ (3x + 2x + 12x )/24 + 28 = x }[/tex]

[tex]\sf{ 17x/24 + 28 = x }[/tex]

[tex]\sf{ 28 = x - (17/24)x}[/tex]

[tex]\sf{ 28 = 24x - 17x/24 }[/tex]

[tex]\sf{28 = 7x/24 }[/tex]

[tex]\sf{ 28 = 7x/24}[/tex]

[tex]\sf{ 7x = 28 × 24}[/tex]

[tex]\sf{ x = 672/7}[/tex]

[tex]\sf{ x = 96\: years}[/tex]

[tex]\sf{\red{ Hence,\: The\: total\: age\: of\: Fred \:is \: 96\: years }}[/tex]

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